Details

sample58.0ms

Algorithm

intervals

Results

23.0ms	227×	body	80	valid
4.0ms	15×	body	640	valid
3.0ms	13×	body	320	valid
2.0ms	6×	body	1280	valid
1.0ms	11×	body	160	valid
0.0ms	1×	body	2560	valid

simplify9.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	13
1	22	13
2	52	13
3	107	13
4	186	13
5	380	13
6	529	13
7	668	13
8	820	13
9	969	13
10	1222	13
11	1531	13
12	2279	13
13	3564	13
done	5000	13

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.8b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- z t) y)
2.9b	(- (+ x y) (/ (* (- z t) y) (- a t)))
11.0b	(/ (* (- z t) y) (- a t))

rewrite155.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
10×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
7×	`add-cube-cbrt`
5×	`pow1` `times-frac` `associate-l` `associate-/r*` `distribute-lft-out--`
4×	`flip3--` `associate-*l/` `flip--` `difference-of-squares`
3×	`associate-r`
2×	`cbrt-undiv` `diff-log` `div-exp` `prod-exp` `associate-/r/` `frac-sub` `cbrt-unprod` `associate-/l/`
1×	`sub-neg` `frac-2neg` `flip3-+` `pow-prod-down` `associate--l+` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

3 → 70

Calls

3 calls:

30.0ms	(* (- z t) y)
82.0ms	(- (+ x y) (/ (* (- z t) y) (- a t)))
39.0ms	(/ (* (- z t) y) (- a t))

series339.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(* (- z t) y)
209.0ms	(- (+ x y) (/ (* (- z t) y) (- a t)))
82.0ms	(/ (* (- z t) y) (- a t))

simplify1.3s

Counts

79 → 79

Iterations

Useful iterations: 2 (334.0ms)

Iter	Nodes	Cost
0	150	1010
1	382	951
2	1543	873
done	5000	873

prune214.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.7b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- a t))
0.5b	(cbrt (- a t))
4.3b	(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
8.0b	(- (+ x y) (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

rewrite198.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-sqr-sqrt`
36×	`times-frac`
35×	`*-un-lft-identity`
30×	`associate-r`
27×	`cbrt-prod`
25×	`add-exp-log`
23×	`add-cube-cbrt`
18×	`cbrt-div` `add-cbrt-cube`
17×	`associate-l`
10×	`flip3--` `associate-/r/` `flip--`
9×	`add-log-exp`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `frac-times` `div-exp`
6×	`pow1` `frac-sub` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
5×	`associate-r/` `associate-l/`
3×	`flip3-+` `flip-+`
2×	`pow1/3` `diff-log` `div-inv`
1×	`sub-neg` `pow-prod-down` `associate--l+` `sum-log` `*-commutative`

Counts

4 → 127

Calls

4 calls:

6.0ms	(cbrt (- a t))
4.0ms	(cbrt (- a t))
137.0ms	(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
45.0ms	(- (+ x y) (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

series723.0ms

Counts

4 → 12

Calls

4 calls:

221.0ms	(cbrt (- a t))
211.0ms	(cbrt (- a t))
131.0ms	(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
159.0ms	(- (+ x y) (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

simplify1.8s

Counts

139 → 139

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	274	3197
1	764	3031
2	2854	2480
done	5001	2289

prune701.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 3.7b

localize35.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
2.7b	(* (/ (* (cbrt (- z t)) (cbrt (- z t))) (cbrt (- a t))) (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t)))))
5.1b	(- (+ x y) (* (/ (* (cbrt (- z t)) (cbrt (- z t))) (cbrt (- a t))) (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t))))))

rewrite229.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-exp-log`
35×	`add-cbrt-cube`
32×	`prod-exp` `cbrt-unprod`
22×	`cbrt-undiv` `div-exp`
15×	`cbrt-prod` `add-sqr-sqrt` `frac-times` `-un-lft-identity` `associate-r/`
14×	`associate-l` `frac-sub`
9×	`pow1` `add-cube-cbrt` `associate-*l/` `add-log-exp`
8×	`times-frac`
7×	`flip3-+` `flip-+`
6×	`cbrt-div`
4×	`flip3--` `flip--`
3×	`pow-prod-down` `distribute-lft-out--` `difference-of-squares`
2×	`pow1/3` `diff-log` `associate-/r/`
1×	`sub-neg` `associate-r` `associate--l+` `sum-log` `*-commutative` `div-inv`

Counts

4 → 120

Calls

4 calls:

5.0ms	(cbrt (- z t))
4.0ms	(cbrt (- z t))
145.0ms	(* (/ (* (cbrt (- z t)) (cbrt (- z t))) (cbrt (- a t))) (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t)))))
69.0ms	(- (+ x y) (* (/ (* (cbrt (- z t)) (cbrt (- z t))) (cbrt (- a t))) (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t))))))

series755.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt (- z t))
226.0ms	(cbrt (- z t))
164.0ms	(* (/ (* (cbrt (- z t)) (cbrt (- z t))) (cbrt (- a t))) (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t)))))
185.0ms	(- (+ x y) (* (/ (* (cbrt (- z t)) (cbrt (- z t))) (cbrt (- a t))) (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t))))))

simplify2.1s

Counts

132 → 132

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	277	4570
1	733	4313
2	2756	3129
done	5002	2770

prune543.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 3.7b

localize46.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
2.7b	(* (/ (* (cbrt (- z t)) (* (* (cbrt (cbrt (- z t))) (cbrt (cbrt (- z t)))) (cbrt (cbrt (- z t))))) (cbrt (- a t))) (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t)))))
9.7b	(- (+ x y) (* (/ (* (cbrt (- z t)) (* (* (cbrt (cbrt (- z t))) (cbrt (cbrt (- z t)))) (cbrt (cbrt (- z t))))) (cbrt (- a t))) (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t))))))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

144×	`add-exp-log`
75×	`prod-exp` `cbrt-unprod`
59×	`add-cbrt-cube`
40×	`cbrt-undiv` `div-exp`
15×	`cbrt-prod` `add-sqr-sqrt` `frac-times` `-un-lft-identity` `associate-r/`
14×	`associate-l` `frac-sub`
9×	`pow1` `add-cube-cbrt` `associate-*l/` `add-log-exp`
8×	`times-frac`
7×	`flip3-+` `flip-+`
6×	`cbrt-div`
4×	`flip3--` `flip--`
3×	`pow-prod-down` `distribute-lft-out--` `difference-of-squares`
2×	`pow1/3` `diff-log` `associate-/r/`
1×	`sub-neg` `associate-r` `associate--l+` `sum-log` `*-commutative` `div-inv`

Counts

4 → 140

Calls

4 calls:

6.0ms	(cbrt (- z t))
6.0ms	(cbrt (- z t))
1.0s	(* (/ (* (cbrt (- z t)) (* (* (cbrt (cbrt (- z t))) (cbrt (cbrt (- z t)))) (cbrt (cbrt (- z t))))) (cbrt (- a t))) (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t)))))
76.0ms	(- (+ x y) (* (/ (* (cbrt (- z t)) (* (* (cbrt (cbrt (- z t))) (cbrt (cbrt (- z t)))) (cbrt (cbrt (- z t))))) (cbrt (- a t))) (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t))))))

series645.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(cbrt (- z t))
163.0ms	(cbrt (- z t))
139.0ms	(* (/ (* (cbrt (- z t)) (* (* (cbrt (cbrt (- z t))) (cbrt (cbrt (- z t)))) (cbrt (cbrt (- z t))))) (cbrt (- a t))) (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t)))))
169.0ms	(- (+ x y) (* (/ (* (cbrt (- z t)) (* (* (cbrt (cbrt (- z t))) (cbrt (cbrt (- z t)))) (cbrt (cbrt (- z t))))) (cbrt (- a t))) (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t))))))

simplify2.5s

Counts

152 → 152

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	319	7515
1	870	7166
2	3597	4714
done	5000	3180

prune537.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 3.7b

regimes379.0ms

Accuracy

17.6% (5.6b remaining)

Error of 9.6b against oracle of 4.0b and baseline of 10.8b

bsearch96.0ms

Steps

Iters	Range		Point
10	1.0896127224059709e+119	1.2454794180232477e+130	3.3512528857234456e+128
6	-1.9870983468117033e+107	-4.691128040087076e+106	-1.9157000962044183e+107

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	29	70
1	39	64
done	39	64

end0.0ms

sample1.2s

Algorithm

intervals

Results

499.0ms	7376×	body	80	valid
99.0ms	462×	body	640	valid
77.0ms	228×	body	1280	valid
47.0ms	402×	body	320	valid
20.0ms	245×	body	160	valid
3.0ms	10×	body	2560	valid